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<p>Mathematics research requiring funding? I don’t think so 
I mean, if you want to get paid, then you might have to apply to outside programs in the summers. But really many mathematicians don’t even use computers much at all. Pencil and paper. </p>
<p>I wouldn’t worry too much about math research. There are many fields of mathematics where exposure to a university for several years is necessary before meaningful research can generally be touched upon. One can of course try some hard problems in discrete math, combinatorics, graph theory and such, but there’s something important to be said of working on the more standard mathematics material in more depth instead of trying to do something original in at least pure mathematics. In fact, learning the material from standard classes well and thinking about it actually matters a lot in mathematics, whereas in some fields, people ignore class in favor of outside products as a trend.</p>
<p>The main thing you want to think about in terms of math is whose ideas you want to absorb. If you have strong preferences on that, then you may want to choose a school based on which folks you want to learn from. Your resources for mathematics are books and people.</p>
<p>Depending on the type of CS work you want to do, funding needn’t be a problem there either. I can’t comment as much on this though. I imagine again, it depends on who you want to be talking to, and how much you think they will actually help you advance your way of thinking.</p>